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#include "game.h"
//Billions of bilious blue blistering barnacles in a thundering typhoon!
#pragma GCC optimize("Ofast,fast-math,unroll-loops")
#pragma GCC target("avx2,fma")
#include<bits/stdc++.h>
#define fast ios::sync_with_stdio(0) , cin.tie(0)
#define F first
#define S second
#define pb push_back
#define vll vector< ll >
#define vi vector< int >
#define pll pair< ll , ll >
#define pi pair< int , int >
#define all(s) s.begin() , s.end()
#define sz(s) s.size()
#define str string
#define mdx ((sx + ex) / 2)
#define mdy ((sy + ey) / 2)
#define mid ((l + r) / 2)
#define msdp(dp) memset(dp , -1 , sizeof dp)
#define mscl(dp) memset(dp , 0 , sizeof dp)
#define C continue
#define R return
#define B break
#define lxx nodex * 2
#define rxx nodex * 2 + 1
#define lxy nodey * 2
#define rxy nodey * 2 + 1
#define br(dosomething) {dosomething; break;}
#define co(dosomething) {dosomething ; continue;}
using namespace std;
typedef long long ll;
long long gcd2(long long X, long long Y) {
long long tmp;
while (X != Y && Y != 0) {
tmp = X;
X = Y;
Y = tmp % Y;
}
return X;
}
ll n , m , k ;
void init(int r, int c) {
n = r , m = c ;
}
map < ll , map < ll , ll > > tree ;
void updatey(ll sy , ll ey , ll nodey , ll sx , ll ex , ll nodex , ll x , ll y , ll val){
if(sy == ey){
if(sx == ex)tree[nodex][nodey] = val ;
else tree[nodex][nodey] = gcd2(tree[lxx][nodey] , tree[rxx][nodey]) ;
R ;
}
if(y <= mdy)updatey(sy , mdy , lxy , sx , ex , nodex , x , y , val) ;
else updatey(mdy + 1 , ey , rxy , sx , ex , nodex , x , y , val) ;
tree[nodex][nodey] = gcd2(tree[nodex][lxy] , tree[nodex][rxy]) ;
}
void updatex(ll sx , ll ex , ll nodex , ll x , ll y , ll val){
if(sx != ex){
if(x <= mdx)updatex(sx , mdx , lxx , x , y , val) ;
else updatex(mdx + 1 , ex , rxx , x , y , val) ;
}
updatey(0 , m - 1 , 1 , sx , ex , nodex , x , y , val) ;
}
ll queryy(ll sy , ll ey , ll nodey , ll nodex , ll ly , ll ry){
if(sy > ry || ey < ly)R 0 ;
if(ly <= sy && ey <= ry)R tree[nodex][nodey] ;
R gcd2(queryy(sy , mdy , lxy , nodex , ly , ry) , queryy(mdy + 1 , ey , rxy , nodex , ly , ry)) ;
}
ll queryx(ll sx , ll ex , ll nodex , ll lx , ll ly , ll rx , ll ry){
if(sx > rx || ex < lx)R 0 ;
if(lx <= sx && ex <= rx){
R queryy(0 , m - 1 , 1 , nodex , ly , ry) ;
}
R gcd2(queryx(sx , mdx , lxx , lx , ly , rx , ry) , queryx(mdx + 1 , ex , rxx , lx , ly , rx , ry)) ;
}
void update(int P, int Q, long long K) {
updatex(0 , n - 1 , 1 , P , Q , K) ;
}
long long calculate(int P, int Q, int U, int V) {
R queryx(0 , n - 1 , 1 , P , Q , U , V) ;
}
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